8978000 has 60 divisors (see below), whose sum is σ = 22037652. Its totient is φ = 3537600.

The previous prime is 8977961. The next prime is 8978059. The reversal of 8978000 is 8798.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 8690704 = 536^2 + 2948^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133967 + ... + 134033.

Almost surely, 2^8978000 is an apocalyptic number.

8978000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11018826).

8978000 is an abundant number, since it is smaller than the sum of its proper divisors (13059652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8978000 is an equidigital number, since it uses as much as digits as its factorization.

8978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 8978000 is about 2996.3310898497. The cubic root of 8978000 is about 207.8387557042.

The spelling of 8978000 in words is "eight million, nine hundred seventy-eight thousand".